Bayes' Theorem problem.

I have no idea how to solve this problem, need help badly!!

In a given county, records show that of the registered voters, 45% are Democrats, 30% are Republicans, and 25% are Independents, In an election, 70% of the Democrats, 30% of the Republicans, and 90% of the Independents voted in favor of a parks and recreation bond proposal. If registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is a Republican, An Independent? A democrat?

Re: Bayes' Theorem problem need help

Originally Posted by pauly215

I have no idea how to solve this problem, need help badly!!

In a given county, records show that of the registered voters, 45% are Democrats, 30% are Republicans, and 25% are Independents, In an election, 70% of the Democrats, 30% of the Republicans, and 90% of the Independents voted in favor of a parks and recreation bond proposal. If registered voter chosen at random is found to have voted in favor of the bond, what is the probability that the voter is a Republican, An Independent? A democrat?

Let denote the that a voter is republican, democrat, independedent, voted yea. Now Bayes tells us that:

Now you are told the values of all the probabilities in the expression on the right, so any further problems?

Re: Bayes' Theorem probablility

Hello, pauly215!

I have no idea how to solve this problem.Why do you insist on saying that?
Really, NO idea?
Your title suggests that you MIGHT use Bayes' Theorem.

In a given county, records show that of the registered voters, 45% are Democrats,
30% are Republicans, and 25% are Independents.
In an election, 70% of the Democrats, 30% of the Republicans, and 90% of the
Independents voted in favor of a parks and recreation bond proposal.

If a registered voter chosen at random is found to have voted in favor of the bond,
what is the probability that the voter is a Republican? .An Independent? .A Democrat?